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Finding the Third Proportional to 376,169.63 and 813,695.06

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Solution

The third proportional to 376,169.63 and 813,695.06 is: 1,760,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,169.63 : 813,695.06 = 813,695.06 : x
  2. Step 2: Convert to fraction form
    376,169.63/813,695.06 = 813,695.06/x
  3. Step 3: Cross multiply
    376,169.63x = 813,695.06 × 813,695.06
  4. Step 4: Simplify right side
    376,169.63x = 662,099,654,736.88
  5. Step 5: Solve for x
    x = 662,099,654,736.88/376,169.63
  6. Step 6: Final answer
    x = 1,760,109.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.